Search a number
-
+
13332032 = 26729759
BaseRepresentation
bin110010110110…
…111001000000
3221002100002222
4302312321000
511403111112
61153430212
7221214620
oct62667100
927070088
1013332032
11758660a
12456b368
1329ba39c
141ab0880
151285372
hexcb6e40

13332032 has 28 divisors (see below), whose sum is σ = 30236160. Its totient is φ = 5713536.

The previous prime is 13332023. The next prime is 13332037. The reversal of 13332032 is 23023331.

It is a tau number, because it is divible by the number of its divisors (28).

It is a self number, because there is not a number n which added to its sum of digits gives 13332032.

It is not an unprimeable number, because it can be changed into a prime (13332037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14432 + ... + 15327.

Almost surely, 213332032 is an apocalyptic number.

It is an amenable number.

13332032 is an abundant number, since it is smaller than the sum of its proper divisors (16904128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13332032 is an equidigital number, since it uses as much as digits as its factorization.

13332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29778 (or 29768 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 13332032 is about 3651.3055199476. The cubic root of 13332032 is about 237.1185055420.

Adding to 13332032 its reverse (23023331), we get a palindrome (36355363).

The spelling of 13332032 in words is "thirteen million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 29759 59518 119036 208313 238072 416626 476144 833252 952288 1666504 1904576 3333008 6666016 13332032